New version of Bäcklund transformations in Euclidean 3‐space

New version of Bäcklund transformations in Euclidean 3‐space

In this paper, we study the Bäcklund transformations for the adjoint curve in the Euclidean 3‐space. Firstly, it is obtained some essential equations of the Bäcklund transformation. After this, we give a new theorem, the Bäcklund transformations for the adjoint curve in Euclidean 3‐space.

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Veröffentlicht in:Mathematical methods in the applied sciences 2019-11, Vol.42 (16), p.5154-5158
Hauptverfasser: Sariaydin, Muhammed Talat, Körpinar, Talat
Format: Artikel
Sprache:eng
Schlagworte:
Adjoint curve
Bäcklund transformations
Euclidean geometry
Frenet frame
Transformations
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Zusammenfassung:In this paper, we study the Bäcklund transformations for the adjoint curve in the Euclidean 3‐space. Firstly, it is obtained some essential equations of the Bäcklund transformation. After this, we give a new theorem, the Bäcklund transformations for the adjoint curve in Euclidean 3‐space.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5248